Question

problem 4 triangle abc was transformed into triangle dfe using a dilation. drag point p to the center of dilation. determine the scale factor.

Explanation:

Step1: Select corresponding side - lengths

Let's consider side $AC$ of $\triangle ABC$ and side $DC$ of $\triangle DFE$. Count the grid - units for each side. $AC = 2$ units and $DC=4$ units.

Step2: Calculate scale factor

The scale factor $k$ of a dilation is given by the ratio of the length of a side in the dilated figure to the length of the corresponding side in the original figure. So, $k=\frac{DC}{AC}$. Substituting the values, we have $k = \frac{4}{2}=2$.

Answer:

$2$